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68077568 = 211132557
BaseRepresentation
bin1000000111011…
…00100000000000
311202002200212102
410003230200000
5114411440233
610431045532
71454435606
oct403544000
9152080772
1068077568
1135478759
121a9708a8
13111477b0
149081876
155e9b1e8
hex40ec800

68077568 has 48 divisors (see below), whose sum is σ = 146650140. Its totient is φ = 31408128.

The previous prime is 68077567. The next prime is 68077577. The reversal of 68077568 is 86577086.

It can be written as a sum of positive squares in 2 ways, for example, as 64513024 + 3564544 = 8032^2 + 1888^2 .

It is not an unprimeable number, because it can be changed into a prime (68077567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25346 + ... + 27902.

Almost surely, 268077568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73325070).

68077568 is an abundant number, since it is smaller than the sum of its proper divisors (78572572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68077568 is a wasteful number, since it uses less digits than its factorization.

68077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 68077568 is about 8250.9131615840. The cubic root of 68077568 is about 408.3206501498.

The spelling of 68077568 in words is "sixty-eight million, seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 2557 3328 5114 6656 10228 13312 20456 26624 33241 40912 66482 81824 132964 163648 265928 327296 531856 654592 1063712 1309184 2127424 2618368 4254848 5236736 8509696 17019392 34038784 68077568